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Finding the Third Proportional to 81,220,251 and 175,387,908

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Solution

The third proportional to 81,220,251 and 175,387,908 is: 378,734,587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,220,251 : 175,387,908 = 175,387,908 : x
  2. Step 2: Convert to fraction form
    81,220,251/175,387,908 = 175,387,908/x
  3. Step 3: Cross multiply
    81,220,251x = 175,387,908 × 175,387,908
  4. Step 4: Simplify right side
    81,220,251x = 30,760,918,272,616,464
  5. Step 5: Solve for x
    x = 30,760,918,272,616,464/81,220,251
  6. Step 6: Final answer
    x = 378,734,587.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.